Question

Trip bought an ice cream cone that is 4 inches tall with a radius of 2 inches the cone has a mass of about 3 ounces when empty after it is filled with ice cream and topped with a Hemisphere of ice cream with a radius of 2 inches it has a mass of 35 ounces what is the density of the ice cream use 3.14 for pie round your answer to the nearest thousand your answer will be in ounces per cubic inches

Answer 1

we know that
[volume of the cone]=(1/3)*pi*r²*h
for r=2 in
h=4 in
[volume of the cone]=(1/3)*pi*2²*4-----> 16.747 in³

volume of the hemisphere=(4/6)*pi*r³
for r=2 in
volume of the hemisphere=(4/6)*pi*2³----> 16.747 in³

[the density of the ice cream]=mass ice cream/volume ice cream

mass ice cream=35 oz-3 oz-----> 32 oz

volume ice cream=volume of a cone +volume of hemisphere
volume ice cream=16.747+16.747----> 33.494 in³

density ice cream=32/33.494-----> 0.955 ounces/in³

the answer is
0.955 ounces/in³